Appendix. 7. If a beam of timber 37 ft. long, 2 ft. wide, and 13 ft. thick, Section III., weigh 10 cwt., find the weight of another beam which measures 100 ft. VII. long, 3 ft. 4 ins. wide, and 3 ft. thick, each cubic foot of the latter weighing 1 times as much as one of the former. Exami nation Questions. 8. Reduce of of 3 oz. Avoirdupois to the decimal of lb. Avoirdupois. Male Monitors. D Papers. 9. Add together 3.243, ·2027, and 5. 10. If a person whose income is £365 a year spend £8 16s. 3d. a week for the first 20 weeks, to what must he limit his daily expenditure for the rest of the year so as not to be in debt at the end of it? Female Monitors. ARITHMETIC.-100 Marks. Two hours allowed for this paper. N.B.-Only five questions to be attempted. The Examiner will read only the first five answers left uncancelled. The questions in this paper are all of equal value, twenty marks being assigned to each. Brief explanatory notes of your work should be given. Mr. DEWAR, Head Inspector. Mr. D. P. FITZGERALD, District Inspector. 1. Explain fully, as you would to a class, how to multiply £7 19s. 7d. by 467. Give the reason for each step in the process. 2. What is the least number that must be added to 275,000 to make it divisible by 369 without a remainder? What is the least number that must be subtracted from 275,000 to make it so divisible? 3. (a.) Explain the term Greatest Common Measure. (b.) Find the Greatest Common Measure of 2072, 2331, and 9250. 4. A person lent £120, and after a certain time received £126 6s. 3d. for principal and interest; the rate of interest being 3 per cent., how long was the money lent (simple interest)? 5. What decimal bears the same ratio to 2 that 1 rood 10 perches bears to 42 acres 2 roods? 6. A contractor engages to build a wall 1,960 ft. long in 19 days, and for that purpose hires 60 men. After 11 days he found that only 840 feet had been built. How many additional men must he employ to finish the work in the stipulated time? 7. A man bought a farm containing 61 acres 2 roods for £1,500, and sold a plot of 5 acres 20 poles at a gain of 333 per cent.; find the price of the plot sold. 9 10 8. 19 lb. 7 oz. of gold at £3 15s. per oz. are mixed with 5 lb. 3 oz. of silver at 3s. 4d. per oz. An ornament weighing 14 oz. is made from this alloy If the cost of workmanship adds one-half to the value of the ornament, find its cost? 9. Express as a circulating decimal the difference between the square of 7 and the square of .7. 10. Find the True Present Worth of £276 10s. 5d. due in 219 days at 3 per cent. GEOMETRY AND MENSURATION.-50 Marks. Two hours allowed for this paper. N.B.-Only five questions to be attempted, of which one and not more Appendix. Section III., Exami nation Questions. Male Monitors. than two must be in Section B, and one and not more than D Papers. Dr. ALEXANDER, Head Inspector. Mr. CUSSEN, District Inspector. SECTION A. 1. Prove that equal triangles on the same base and on the same side of it are between the same parallels. 2. The angles at the base of an isosceles triangle are equal, and if the equal sides be produced, the external angles below the base shall be equal. Prove this proposition. 3. If a right line intersecting two right lines makes the exterior angle equal to its corresponding interior angle, or makes two interior angles on the same side equal to two right angles, the two right lines are parallel. Prove. 4. Write out the three postulates, and the twelfth axiom, namely, that which speaks of one straight line meeting two other straight lines. Explain and illustrate by a diagram what is meant by a "Supplementary Angle," and by a "Complementary Angle." SECTION B. 5. Through two given points in two parallels, draw two straight lines forming a rhombus with the parallels. 6. If a diagonal of a parallelogram be either equal to a side or less than a side of the same figure, that diagonal is less than the other. Prove. 7. Given the sum of the side and perpendicular of an equilateral triangle; construct it. SECTION C. 8. The sides of a quadrilateral taken in order are 27, 36, 30, and 25 feet respectively; and the angle contained by the first two sides is right angle. Find the area. 9. ABCDE is a five-sided figure; the following lengths are in feet:--AC=16, AD=12, the perpendiculars from B and D on AC are 8.4 and 4-6 respectively, and the perpendicular from E on AD is 5 feet. Find the area. 10. The sides of a triangle are 5 feet, 12 feet, and 13 feet. Find the area. Male ALGEBRA.-50 Marks. Two hours allowed for this paper. Monitors. N.B.-Only five questions to be attempted. The Examiner will read D Papers. only the first five answers left uncancelled. The questions in this paper are all of equal value, ten marks being allowed for each. 4c4+4a2b-12a2c + b2 + 4a2bc - 6bc + 2b2c + 9c2 + b2c2 - 6bc2. 4. The product of two algebraic expressions is 8a+ + 2a2 (3b2 - 5) − 3b2 (3b2 + 2) + 3, and one of these expressions is 4a2. 362 3. Find the other. 5. Two men receive the same sum, but if one of them were to receive 14 shillings more and the other 14 shillings and 2 pence less, the former would receive three times as much as the latter. What sum did each receive? 10. In paying two bills, one of which exceeded the other by onethird the less, the change out of a £5 note was half the difference of the bills. What were their amounts? BOOK-KEEPING.-50 Marks. Two hours allowed for this paper N.B.-Only five questions to be attempted, one of which must be either Appendix. SectionIII. VII. Exami nation Questions. Male No. 1 or No. 2. The Examiner will read only the first five Monitors. دو 2. Sold J. Thomson, 13 cwts. at £2 10s. Bought of W. Jameson, 15 cwts. at £1 15s. for cash, ,, 4. Bought of W. Jameson, 6 cwts. at £1 18s., 32 10 0 26 5 0 11 8 0 2. Post these transactions in the necessary Ledger accounts, and close the accounts. 3. What information is afforded by the balances of the following accounts: Cash, Wm. Robertson, Profit and Loss? 4. Explain clearly how entries are traced from Waste Book to Journal, from Journal to Ledger, and from one part of the Ledger to another. 5. What is meant by my net estate," and how is it found? 6. When closing my accounts, I find that John Cooke owes me £150 how does this debt appear in my new books? : 7. Explain how Real Accounts are closed, and why; and mention one that forms an exception to the general rule. 8. What are Fictitious Accounts? Name some, and state which is the most important of them. 9. I hold W. Donnelly's Acceptance for £280, and get it discounted at the Ulster Bank, for £263 4s. Journalise this transaction. 10. When are Personal Accounts necessary, and why; and what is the rule for making entries in such accounts? Appendix. Section III., VII. Exami nation AGRICULTURE.-50 Marks. One hour and a half allowed for this paper. Questions. N.B.-Only five questions to be attempted. The Examiner will read Male Monitors. D Papers. only the first five answers left uncancelled. The questions in this paper are all of equal value, ten marks being allowed for each. Mr. SULLIVAN, Head Inspector. Mr. KELLY, District Inspector. 1. Describe the method of treating potatoes from the time they are raised until they are finally stored. 2. How may the blank spaces in a plot of mangles be filled? 3. Specify the precautions to be taken against mustiness in the case of barley. 4. What are the chief rules to be observed in haymaking? 5. What is the method recommended for making a manure heap in the field? 6. How is cauliflower (a) propagated, (b) protected from frost, (c) hardened? 7. Give the names and properties of some of the principal kinds of apples. 8. State what you know of the Welsh breed of cattle. 9. How is rennet prepared and used? 10. Discuss the merits and defects of privet and hornbeam as hedge plants. Male and Female Monitors. METHODS OF TEACHING.-60 Marks. Two hours allowed for this paper. N.B.-Only five questions to be attempted. The Examiner will read only the first five answers left uncancelled. The questions in this paper are all of equal value, twelve marks being allowed for each. Mr. SULLIVAN, Head Inspector. 1. What are the advantages claimed for simultaneous reading? How is it carried on? 2. Indicate the uses of Oral Spelling (a) in the Junior Classes, and (b) in the Senior Classes. |